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A Simple Model of Evolution with Variable System Size | | C. Wilke
; T. Martinetz
; | | Date: |
7 May 1997 | | Journal: | Phys. Rev. E 56:7128-7131 (1997) | | Subject: | Biological Physics; Data Analysis, Statistics and Probability; Disordered Systems and Neural Networks; Adaptation and Self-Organizing Systems | physics.bio-ph adap-org cond-mat.dis-nn nlin.AO physics.data-an q-bio | | Affiliation: | Ruhr-Universitaet Bochum | | Abstract: | A simple model of biological extinction with variable system size is presented that exhibits a power-law distribution of extinction event sizes. The model is a generalization of a model recently introduced by Newman (Proc. R. Soc. Lond. B265, 1605 (1996). Both analytical and numerical analysis show that the exponent of the power-law distribution depends only marginally on the growth rate $g$ at which new species enter the system and is equal to the one of the original model in the limit $g oinfty$. A critical growth rate $g_c$ can be found below which the system dies out. Under these model assumptions stable ecosystems can only exist if the regrowth of species is sufficiently fast. | | Source: | arXiv, physics/9705008 | | Services: | Forum | Review | PDF | Favorites | |
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